328738149376000
328,738,149,376,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 328738149376000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
328738149376000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 328738149376000:
213 × 53 × 72 × 13 × 37 × 53 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 37 × 53 × 257)See below for interesting mathematical facts about the number 328738149376000 from the Numbermatics database.
Names of 328738149376000
- Cardinal: 328738149376000 can be written as Three hundred twenty-eight trillion, seven hundred thirty-eight billion, one hundred forty-nine million, three hundred seventy-six thousand.
Scientific notation
- Scientific notation: 3.28738149376 × 1014
Factors of 328738149376000
Divisors of 328738149376000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 37 40 49 50 52 53 56 64 65 70 74 80 91 98 100 104 106 112 125 128 130 140 148 160 175 182 185 196 200 208 212 224 245 250 256 257 259 260 265 280 296 320 325 350 364 370 371 392 400 416 424 448 455 481 490 500 512 514 518 520 530 560 592 637 640 650 689 700 728 740 742 784 800 832 848 875 896 910 925 962 980 1000 1024 1028 1036 1040 1060 1120 1184 1225 1274 1280 1285 1295 1300 1325 1378 1400 1456 1480 1484 1568 1600 1625 1664 1696 1750 1792 1799 1813 1820 1850 1855 1924 1960 1961 2000 2048 2056 2072 2080 2120 2240 2275 2368 2405 2450 2548 2560 2570 2590 2597 2600 2650 2756 2800 2912 2960 2968 3136 3185 3200 3250 3328 3341 3367 3392 3445 3500 3584 3598 3626 3640 3700 3710 3848 3920 3922 4000 4096 4112 4144 4160 4240 4480 4550 4625 4736 4810 4823 4900 5096 5120 5140 5180 5194 5200 5300 5512 5600 5824 5920 5936 6125 6272 6370 6400 6425 6475 6500 6625 6656 6682 6734 6784 6890 7000 7168 7196 7252 7280 7400 7420 7696 7840 7844 8000 8192 8224 8288 8320 8480 8960 8995 9065 9100 9250 9275 9472 9509 9620 9646 9800 9805 10192 10240 10280 10360 10388 10400 10600 11024 11200 11375 11648 11840 11872 12025 12250 12544 12593 12740 12800 12850 12950 12985 13000 13250 13312 13364 13468 13568 13621 13727 13780 14000 14336 14392 14504 14560 14800 14840 15392 15680 15688 15925 16000 16448 16576 16640 16705 16835 16960 17225 17920 17990 18130 18200 18500 18550 18944 19018 19240 19292 19600 19610 20384 20480 20560 20720 20776 20800 21200 22048 22400 22750 23296 23387 23569 23680 23744 24050 24115 24500 25088 25186 25480 25493 25600 25700 25900 25970 26000 26500 26624 26728 26936 27136 27242 27454 27560 28000 28672 28784 29008 29120 29600 29680 30784 31360 31376 31850 32000 32125 32375 32896 33152 33280 33410 33670 33761 33920 34450 35840 35980 36260 36400 37000 37100 37888 38036 38480 38584 39200 39220 40768 40960 41120 41440 41552 41600 42400 44096 44800 44975 45325 45500 46375 46592 46774 47138 47360 47488 47545 48100 48230 49000 49025 50176 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22212037120 22578169600 22665344000 22841728000 22930953500 23481296384 23856179200 23948288000 24134656000 24228932000 24408832000 24598784000 24694873000 24810426368 25287549952 25316761600 25385185280 25582735360 25682667920 25803622400 26104832000 26206804000 26835767296 27337891840 27690208000 27765046400 28222712000 28900057088 29351620480 29820224000 31013032960 31609437440 31645952000 31731481600 31978419200 32103334900 32254528000 33527603200 33544709120 34080256000 34172364800 34571264000 34706308000 35443466240 35539259392 36125071360 36264550400 36546764800 36689525600 38766291200 39511796800 39664352000 39973024000 40129168625 41092268672 41909504000 41930886400 42715456000 44304332800 44424074240 45156339200 45330688000 45683456000 45861907000 46962592768 47712358400 48457864000 48817664000 49197568000 49389746000 49620852736 50575099904 50770370560 51165470720 51365335840 51607244800 52413608000 53671534592 55380416000 55530092800 56445424000 58703240960 59640448000 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225781696000 234812963840 238561792000 248104263680 252875499520 253851852800 255827353600 256826679200 258036224000 268357672960 277650464000 293516204800 310130329600 316094374400 317314816000 319784192000 321033349000 328738149376 335447091200 341723648000 355392593920 361250713600 366895256000 375700742144 387662912000 395117968000 410922686720 419308864000 443043328000 444240742400 451563392000 469625927680 477123584000 505750999040 513653358400 516072448000 555300928000 587032409600 620260659200 632188748800 634629632000 639568384000 642066698000 657476298752 670894182400 683447296000 722501427200 733790512000 775325824000 790235936000 821845373440 838617728000 886086656000 888481484800 903126784000 939251855360 1011501998080 1027306716800 1110601856000 1174064819200 1240521318400 1264377497600 1269259264000 1279136768000 1284133396000 1314952597504 1341788364800 1467581024000 1550651648000 1580471872000 1643690746880 1677235456000 1776962969600 1806253568000 1878503710720 2054613433600 2221203712000 2348129638400 2528754995200 2568266792000 2629905195008 2935162048000 3101303296000 3160943744000 3287381493760 3354470912000 3612507136000 4109226867200 4442407424000 4696259276800 5057509990400 5136533584000 5870324096000 6202606592000 6321887488000 6574762987520 6708941824000 8218453734400 8884814848000 9392518553600 10273067168000 11740648192000 12643774976000 13149525975040 16436907468800 20546134336000 23481296384000 25287549952000 32873814937600 41092268672000 46962592768000 65747629875200 82184537344000 164369074688000 328738149376000
- Sum of all divisors σ(n): 1079736998768064
- Sum of proper divisors (its aliquot sum) s(n): 750998849392064
- 328738149376000 is an abundant number, because the sum of its proper divisors (750998849392064) is greater than itself. Its abundance is 422260700016064
Bases of 328738149376000
- Binary: 10010101011111100010100001001111000100000000000002
- Hexadecimal: 0x12AFC509E2000
- Base-36: 38J07YDCSG
Squares and roots of 328738149376000
- 328738149376000 squared (3287381493760002) is 108068770855157289189376000000
- 328738149376000 cubed (3287381493760003) is 35526327736263412193512317440229376000000000
-
The
square root of 328738149376000 is 18131137.5643118433 -
The
cube root of 328738149376000 is 69016.0397756825
Scales and comparisons
How big is 328738149376000?- 328,738,149,376,000 seconds is equal to 10,452,856 years, 15 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 328,738,149,376,000 would take you about twenty-six million, one hundred thirty-two thousand, one hundred forty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 328738149376000 cubic inches would be around 5751.3 feet tall.
Recreational maths with 328738149376000
- 328738149376000 backwards is 000673941837823
- The number of decimal digits it has is: 15
- The sum of 328738149376000's digits is 61
- More coming soon!
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Cite this page
MLA style:
"Number 328738149376000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 328738149376000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/328738149376000/
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The information we have on file for 328738149376000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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